Converting 48.2916 to a Fraction
Step-by-step explanation of how to convert 48.2916 to a fraction

Result

48.2916 =
120729
2500
Mixed number:
48
729
2500

Step 1: Identify the number of decimal places

The decimal 48.2916 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

48.2916 × 10000 = 482916

Step 3: Write as a fraction

48.2916 =

482916
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 482916 and 10000.

GCD(482916, 10000) = 4

Divide both the numerator and denominator by the GCD:

482916
10000

=

482916 ÷ 4
10000 ÷ 4

=

120729
2500
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